复变函数在确定开采沉陷有效预计点中的应用

Application of complex function in ascertain effective dots of mining subsidence

基于矢量格式向栅格格式转换的基本原理,构造一复变函数,推导给出了确定有效区域范围内的预计点的判别方法,结合C++的运算符重载技术,构造了有效区域外无效计算点的剔除模型,解决了应用PC机进行海量数据计算中速度慢、内存小的技术难题,是应用概率积分法进行大范围全盆地地表移动变形快速计算的有效途径之一。研究区域为2.5km2,利用剔除无效点模块所需时间为17.4h,不利用该模块所需时间为28.5h,速度提高了38.9%。该方法具有计算速度较快的特点,方便工程应用。

According to the basic principle of changing the vector formatting into the grid formatting, we can construct a complex function and educe the means which the dots are effective and which are ineffective. We can translate the math langue into the computer langue by the C ＋ ＋ operator overloading, so ineffective dots are eliminated and the calculating speed is quickened. This method solves the technodifficult problem that PC＇s EMS memory is small and calculation is slow. The method is effective for applying the probability integral to forecast the large range of the ground surface mining-disturbed. By an actual engineering computation with study area of 2.5 km2, this method need 17.4 h for use of the elim- ination module and 28.5 h without making use of the elimination module. The comparison result shows that the calculation speed is improved by 38.9%. The method has a high speed of computation and is convenient for engineering application.